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1

Ing, Hlavácek Vladimír, ed. Dynamics of nonlinear systems. New York: Gordon and Breach, 1986.

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2

Baldea, Michael. Dynamics and nonlinear control of integrated process systems. Cambridge: Cambridge University Press, 2012.

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3

1962-, Pojman John A., ed. An introduction to nonlinear chemical dynamics: Oscillations, waves, patterns, and chaos. New York: Oxford University Press, 1998.

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4

1957-, Continillo G., Crescitelli S. 1943-, Giona M, and DINIP 2000 Conference (2000 : Rome, Italy), eds. Nonlinear dynamics and control in process engineering: Recent advances. Milano: Springer, 2002.

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5

Ogli, Aliyev Soltan Ali, ed. Fluid mechanics and heat transfer: Advances in nonlinear dynamics modeling. Oakville, ON: Apple Academic Press, 2016.

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6

Garzó, Vicente. Kinetic Theory of Gases in Shear Flows: Nonlinear Transport. Dordrecht: Springer Netherlands, 2003.

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7

H, Busse F., and Müller S. C. 1949-, eds. Evolution of spontaneous structures in dissipative continuous systems. Berlin: Springer, 1998.

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8

V, Tuchin V., and Society of Photo-optical Instrumentation Engineers., eds. Complex dynamics, fluctuations, chaos, and fractals in biomedical photonics: 25 January 2004, San Jose, California, USA. Bellingham, Wash., USA: SPIE, 2004.

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9

International, Workshop on Dynamism and Regulation in Nonlinear Chemical Systems (1995 Tsukuba Japan). Dynamism and regulation in nonlinear chemical systems: ... International Workshop on Dynamism and Regulation in Nonlinear Chemical Systems, Tsukuba, Japan, 22-25 March 1995. Amsterdam: North-Holland, 1995.

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10

Epstein, Irving R., and John A. Pojman. An Introduction to Nonlinear Chemical Dynamics. Oxford University Press, 1998. http://dx.doi.org/10.1093/oso/9780195096705.001.0001.

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Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences. This book is the first introduction to nonlinear chemical dynamics written specifically for chemists. It covers oscillating reactions, chaos, and chemical pattern formation, and includes numerous practical suggestions on reactor design, data analysis, and computer simulations. Assuming only an undergraduate knowledge of chemistry, the book is an ideal starting point for research in the field. The book begins with a brief history of nonlinear chemical dynamics and a review of the basic mathematics and chemistry. The authors then provide an extensive overview of nonlinear dynamics, starting with the flow reactor and moving on to a detailed discussion of chemical oscillators. Throughout the authors emphasize the chemical mechanistic basis for self-organization. The overview is followed by a series of chapters on more advanced topics, including complex oscillations, biological systems, polymers, interactions between fields and waves, and Turing patterns. Underscoring the hands-on nature of the material, the book concludes with a series of classroom-tested demonstrations and experiments appropriate for an undergraduate laboratory.
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11

Nakata, Satoshi, Raymond Kapral, Natsuhiko Yoshinaga, Nobuhiko J. Suematsu, and Nobuhiko J. Suematsu. Self-Organized Motion: Physicochemical Design Based on Nonlinear Dynamics. Royal Society of Chemistry, The, 2018.

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12

Baldea, Michael, and Prodromos Daoutidis. Dynamics and Nonlinear Control of Integrated Process Systems. Cambridge University Press, 2012.

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13

Baldea, Michael, and Prodromos Daoutidis. Dynamics and Nonlinear Control of Integrated Process Systems. Cambridge University Press, 2012.

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14

Baldea, Michael, and Prodromos Daoutidis. Dynamics and Nonlinear Control of Integrated Process Systems. Cambridge University Press, 2012.

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15

Baldea, Michael, and Prodromos Daoutidis. Dynamics and Nonlinear Control of Integrated Process Systems. Cambridge University Press, 2012.

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16

Nonlinear Chemical Kinetics: Complex Dynamics and Spatiotemporal Patterns (Faraday Discussions). Royal Society of Chemistry, 2001.

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17

Ali, Fathei M. On the nonlinear chemical dynamics of the imperfectly mixed CSTR. 1998.

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18

Müller, Stefan C., and Friedrich H. Busse. Evolution of Spontaneous Structures in Dissipative Continuous Systems. Springer London, Limited, 2003.

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19

Müller, Stefan C., and Friedrich H. Busse. Evolution of Spontaneous Structures in Dissipative Continuous Systems. Springer Berlin / Heidelberg, 2011.

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20

Pacault, Christian Vidal Adolphe. Nonlinear Phenomena in Chemical Dynamics: Proceedings of an International Conference, Bordeaux, France, September 7-11, 1981. Brand: Springer, 2011.

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21

Epstein, Irving R., and John A. Pojman. Introduction to Nonlinear Chemical Dynamics, an: Oscillations, Waves, Patterns, and Chaos. Oxford University Press, 1998.

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22

Asli, Kaveh Hariri, and Soltan Ali Ogli Aliyev. Fluid Mechanics and Heat Transfer: Advances in Nonlinear Dynamics Modeling. Apple Academic Press, Incorporated, 2015.

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23

Clavin, Paul, and Geoff Searby. Combustion Waves and Fronts in Flows: Flames, Shocks, Detonations, Ablation Fronts and Explosion of Stars. Cambridge University Press, 2016.

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24

Clavin, Paul, and Geoff Searby. Combustion Waves and Fronts in Flows: Flames, Shocks, Detonations, Ablation Fronts and Explosion of Stars. Cambridge University Press, 2016.

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25

Clavin, Paul, and Geoff Searby. Combustion Waves and Fronts in Flows: Flames, Shocks, Detonations, Ablation Fronts and Explosion of Stars. Cambridge University Press, 2016.

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26

Farantos, Stavros C. Nonlinear Hamiltonian Mechanics Applied to Molecular Dynamics: Theory and Computational Methods for Understanding Molecular Spectroscopy and Chemical Reactions. Springer, 2014.

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27

Nonlinear Hamiltonian Mechanics Applied to Molecular Dynamics: Theory and Computational Methods for Understanding Molecular Spectroscopy and Chemical Reactions. Springer, 2014.

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28

Free Energy and Self-Interacting Particles (Progress in Nonlinear Differential Equations and Their Applications). Birkhäuser Boston, 2005.

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29

Stochastic Chemical Kinetics: Theory and Systems Biological Applications. Springer, 2014.

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30

Érdi, Péter, and Gábor Lente. Stochastic Chemical Kinetics: Theory and Systems Biological Applications. Springer, 2014.

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31

Érdi, Péter, and Gábor Lente. Stochastic Chemical Kinetics: Theory and Systems Biological Applications. Springer, 2016.

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32

Zocchi, Giovanni. Molecular Machines. Princeton University Press, 2018. http://dx.doi.org/10.23943/princeton/9780691173863.001.0001.

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This book presents a dynamic new approach to the physics of enzymes and DNA from the perspective of materials science. Unified around the concept of molecular deformability—how proteins and DNA stretch, fold, and change shape—the book describes the complex molecules of life from the innovative perspective of materials properties and dynamics, in contrast to structural or purely chemical approaches. It covers a wealth of topics, including nonlinear deformability of enzymes and DNA; the chemo-dynamic cycle of enzymes; supra-molecular constructions with internal stress; nano-rheology and viscoelasticity; and chemical kinetics, Brownian motion, and barrier crossing. Essential reading for researchers in materials science, engineering, and nanotechnology, the book also describes the landmark experiments that have established the materials properties and energy landscape of large biological molecules. The book gives graduate students a working knowledge of model building in statistical mechanics, making it an essential resource for tomorrow's experimentalists in this cutting-edge field. In addition, mathematical methods are introduced in the bio-molecular context. The result is a generalized approach to mathematical problem solving that enables students to apply their findings more broadly.
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33

Koch, Christof. Biophysics of Computation. Oxford University Press, 1998. http://dx.doi.org/10.1093/oso/9780195104912.001.0001.

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Neural network research often builds on the fiction that neurons are simple linear threshold units, completely neglecting the highly dynamic and complex nature of synapses, dendrites, and voltage-dependent ionic currents. Biophysics of Computation: Information Processing in Single Neurons challenges this notion, using richly detailed experimental and theoretical findings from cellular biophysics to explain the repertoire of computational functions available to single neurons. The author shows how individual nerve cells can multiply, integrate, or delay synaptic inputs and how information can be encoded in the voltage across the membrane, in the intracellular calcium concentration, or in the timing of individual spikes. Key topics covered include the linear cable equation; cable theory as applied to passive dendritic trees and dendritic spines; chemical and electrical synapses and how to treat them from a computational point of view; nonlinear interactions of synaptic input in passive and active dendritic trees; the Hodgkin-Huxley model of action potential generation and propagation; phase space analysis; linking stochastic ionic channels to membrane-dependent currents; calcium and potassium currents and their role in information processing; the role of diffusion, buffering and binding of calcium, and other messenger systems in information processing and storage; short- and long-term models of synaptic plasticity; simplified models of single cells; stochastic aspects of neuronal firing; the nature of the neuronal code; and unconventional models of sub-cellular computation. Biophysics of Computation: Information Processing in Single Neurons serves as an ideal text for advanced undergraduate and graduate courses in cellular biophysics, computational neuroscience, and neural networks, and will appeal to students and professionals in neuroscience, electrical and computer engineering, and physics.
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34

Information-Theoretic Methods for Estimating of Complicated Probability Distributions, Volume 207 (Mathematics in Science and Engineering). Elsevier Science, 2006.

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