000			04619nam a22005895i 4500
001			978-3-642-33552-5
003			DE-He213
005			20200421111703.0
007			cr nn 008mamaa
008			120923s2013 gw | s |||| 0|eng d
020			_a9783642335525 _9978-3-642-33552-5
024	7		_a10.1007/978-3-642-33552-5 _2doi
050		4	_aTA329-348
050		4	_aTA640-643
072		7	_aTBJ _2bicssc
072		7	_aMAT003000 _2bisacsh
082	0	4	_a519 _223
100	1		_aFuchs, Armin. _eauthor.
245	1	0	_aNonlinear Dynamics in Complex Systems _h[electronic resource] : _bTheory and Applications for the Life-, Neuro- and Natural Sciences / _cby Armin Fuchs.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2013.
300			_aXIV, 238 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aPart I Nonlinear Dynamical Systems -- Introduction -- One-dimensional Systems -- Two-Dimensional Systems -- Higher-Dimensional Systems and Chaos -- Discrete Maps and Iterations in Space -- Stochastic Systems -- Part II: Model Systems -- Haken-Kelso-Bunz (HKB) Model -- Self-organization and Synergetics -- Neuronal Models -- Part III: Mathematical Basics -- Mathematical Basics -- The Coupled HKB System -- Numerical Procedures and Computer Simulations -- Solutions.
520			_aWith many areas of science reaching across their boundaries and becoming more and more interdisciplinary, students and researchers in these fields are confronted with techniques and tools not covered by their particular education. Especially in the life- and neurosciences quantitative models based on nonlinear dynamics and complex systems are becoming as frequently implemented as traditional statistical analysis. Unfamiliarity with the terminology and rigorous mathematics may discourage many scientists to adopt these methods for their own work, even though such reluctance in most cases is not justified.This book bridges this gap by introducing the procedures and methods used for analyzing nonlinear dynamical systems. In Part I, the concepts of fixed points, phase space, stability and transitions, among others, are discussed in great detail and implemented on the basis of example elementary systems. Part II is devoted to specific, non-trivial applications: coordination of human limb movement (Haken-Kelso-Bunz model), self-organization and pattern formation in complex systems (Synergetics), and models of dynamical properties of neurons (Hodgkin-Huxley, Fitzhugh-Nagumo and Hindmarsh-Rose). Part III may serve as a refresher and companion of some mathematical basics that have been forgotten or were not covered in basic math courses. Finally, the appendix contains an explicit derivation and basic numerical methods together with some programming examples as well as solutions to the exercises provided at the end of certain chapters. Throughout this book all derivations are as detailed and explicit as possible, and everybody with some knowledge of calculus should be able to extract meaningful guidance follow and apply the methods of nonlinear dynamics to their own work."This book is a masterful treatment, one might even say a gift, to the interdisciplinary scientist of the future.""With the authoritative voice of a genuine practitioner, Fuchs is a master teacher of how to handle complex dynamical systems.""What I find beautiful in this book is its clarity, the clear definition of terms, every step explained simply and systematically."(J.A.Scott Kelso, excerpts from the foreword).
650		0	_aEngineering.
650		0	_aNeurosciences.
650		0	_aDynamics.
650		0	_aErgodic theory.
650		0	_aSystem theory.
650		0	_aStatistical physics.
650		0	_aDynamical systems.
650		0	_aApplied mathematics.
650		0	_aEngineering mathematics.
650		0	_aVibration.
650	1	4	_aEngineering.
650	2	4	_aAppl.Mathematics/Computational Methods of Engineering.
650	2	4	_aStatistical Physics, Dynamical Systems and Complexity.
650	2	4	_aDynamical Systems and Ergodic Theory.
650	2	4	_aVibration, Dynamical Systems, Control.
650	2	4	_aSystems Theory, Control.
650	2	4	_aNeurosciences.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642335518
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-33552-5
912			_aZDB-2-ENG
942			_cEBK
999			_c55087 _d55087