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Regularity and stochasticity of nonl...

Leoncini, Xavier.

Regularity and stochasticity of nonlinear dynamical systems

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Regularity and stochasticity of nonlinear dynamical systemsedited by Dimitri Volchenkov, Xavier Leoncini.
其他作者:	Volchenkov, Dimitri.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	x, 311 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Nonlinear theories.
電子資源:	http://dx.doi.org/10.1007/978-3-319-58062-3
ISBN:	9783319580623$q(electronic bk.)

Regularity and stochasticity of nonlinear dynamical systems
Regularity and stochasticity of nonlinear dynamical systems[electronic resource] /edited by Dimitri Volchenkov, Xavier Leoncini. - Cham :Springer International Publishing :2018. - x, 311 p. :ill., digital ;24 cm. - Nonlinear systems and complexity,v.212195-9994 ;. - Nonlinear systems and complexity ;7..

Solvability of Some Integro-Diﬀerential Equations with Anomalous Diﬀusion -- Poincare Recurrences in Ergodic Systems Without Mixing -- Success, Hierarchy, and Inequality under Uncertainty -- Grazing in Impulsive Differential Equations -- On Local Topological Classiﬁcation of Two-dimensional Orientable, Nonorientable and Half-orientable Horseshoes -- From Chaos to Order in a Ring of Coupled Oscillator Swith Frequency Mismatch -- Dynamics of some nonlinear meromorphic functions -- Dynamics of oscillatory networks with pulse delayed coupling -- Bifurcation trees of period-3 motions to chaos in a time-delayed Duffing Oscillator -- Travelable Period-1 Motions to Chaos in a Periodically Excited Pendulum -- Automorphic systems and differential-invariant solutions.

This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical systems. This book covers integro-differential equation solvability, Poincare recurrences in ergodic systems, orientable horseshoe structure, analytical routes of periodic motions to chaos, grazing on impulsive differential equations, from chaos to order in coupled oscillators, and differential-invariant solutions for automorphic systems, inequality under uncertainty. Presents the most up-to-date understanding in nonlinear dynamical systems along with new theories and methodologies applied to nonlinear physics, engineering, and social science; Includes differential-invariant solutions, classification of orientable horseshoes, and nonlinear time-delay systems; Illustrates solution routes to chaos for nonlinear differential equations.

ISBN: 9783319580623$q(electronic bk.)

Standard No.: 10.1007/978-3-319-58062-3doiSubjects--Topical Terms:

182014
Nonlinear theories.

LC Class. No.: QA427

Dewey Class. No.: 003.75

Regularity and stochasticity of nonlinear dynamical systems
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505 0 $a Solvability of Some Integro-Diﬀerential Equations with Anomalous Diﬀusion -- Poincare Recurrences in Ergodic Systems Without Mixing -- Success, Hierarchy, and Inequality under Uncertainty -- Grazing in Impulsive Differential Equations -- On Local Topological Classiﬁcation of Two-dimensional Orientable, Nonorientable and Half-orientable Horseshoes -- From Chaos to Order in a Ring of Coupled Oscillator Swith Frequency Mismatch -- Dynamics of some nonlinear meromorphic functions -- Dynamics of oscillatory networks with pulse delayed coupling -- Bifurcation trees of period-3 motions to chaos in a time-delayed Duffing Oscillator -- Travelable Period-1 Motions to Chaos in a Periodically Excited Pendulum -- Automorphic systems and differential-invariant solutions.
520 $a This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical systems. This book covers integro-differential equation solvability, Poincare recurrences in ergodic systems, orientable horseshoe structure, analytical routes of periodic motions to chaos, grazing on impulsive differential equations, from chaos to order in coupled oscillators, and differential-invariant solutions for automorphic systems, inequality under uncertainty. Presents the most up-to-date understanding in nonlinear dynamical systems along with new theories and methodologies applied to nonlinear physics, engineering, and social science; Includes differential-invariant solutions, classification of orientable horseshoes, and nonlinear time-delay systems; Illustrates solution routes to chaos for nonlinear differential equations.
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