1.

Record Nr.

UNINA9910299498203321

Titolo

Nonlinear Dynamics and Complexity / / edited by Valentin Afraimovich, Albert C. J. Luo, Xilin Fu

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014

ISBN

3-319-02353-5

Edizione

[1st ed. 2014.]

Descrizione fisica

1 online resource (297 p.)

Collana

Nonlinear Systems and Complexity, , 2196-0003 ; ; 8

Disciplina

519

Soggetti

Dynamics

Nonlinear theories

Nonlinear Optics

System theory

Applied Dynamical Systems

Complex Systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

From Long Range Order to Complex Networks, an Hamiltonian Dynamics Perspective -- Time-Varying Linearization: Perron Effects of Lyapunov Exponent Sign Inversion, Stability and Instability by the First Approximation -- Fractional Maps as Maps with Memory -- Complex Period- Motion in a Periodically Forced, Quadratic Nonlinear Oscillator -- Map-Based Approach to Problems of Spiking Neural Network Dynamics -- Adaptive Landscape with Singularity in Biological Processes -- Multiscale Scaffolding of Real World Data -- Treasure Hunting in Virtual Environments. Scaling Laws of Human Virtual Motions and Mathematical Models of Human Actions in Uncertainty -- Vibrational Resonance in Time-Delayed Nonlinear Systems -- Experimental Studies of Noise Effects in Nonlinear Oscillators.

Sommario/riassunto

This important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics. Nonlinear Dynamics and Complexity equips readers to appreciate this increasingly main-stream approach to understanding complex



phenomena in nonlinear systems as they are examined in a broad array of disciplines. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering.