[ספר][B] Practical bifurcation and stability analysis
R Seydel - 2009 - books.google.com
Fifteen years have elapsed after the second edition of Practical Bifurcation and Stability
Analysis was published. During that time period the? eld of computational bifurcation has …
Analysis was published. During that time period the? eld of computational bifurcation has …
Strange nonchaotic attractors in memristor-based Shimizu–Morioka oscillator
The existence of strange nonchaotic attractors (SNAs) is examined using a memristor-based
Shimizu–Morioka oscillator. In particular, we analyze the birth of SNAs by varying one of the …
Shimizu–Morioka oscillator. In particular, we analyze the birth of SNAs by varying one of the …
Strange nonchaotic and chaotic attractors in a self-excited thermoacoustic oscillator subjected to external periodic forcing
We experimentally investigate the synchronization dynamics of a self-excited
thermoacoustic system forced beyond its phase-locked state. The system consists of a …
thermoacoustic system forced beyond its phase-locked state. The system consists of a …
Emergence of extreme events in a quasiperiodic oscillator
Extreme events are unusual and rare large-amplitude fluctuations can occur unexpectedly in
nonlinear dynamical systems. Events above the extreme event threshold of the probability …
nonlinear dynamical systems. Events above the extreme event threshold of the probability …
Old and new results on strange nonchaotic attractors
Classical and new results concerning the topological structure of skew-products semiflows,
coming from nonautonomous maps and differential equations, are combined in order to …
coming from nonautonomous maps and differential equations, are combined in order to …
A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: explorations and mechanisms for the breakdown of …
In two previous papers [J. Differential Equations, 228 (2006), pp. 530-579; Discrete Contin.
Dyn. Syst. Ser. B, 6 (2006), pp. 1261-1300] we have developed fast algorithms for the …
Dyn. Syst. Ser. B, 6 (2006), pp. 1261-1300] we have developed fast algorithms for the …
Hidden strange nonchaotic attractors
In this paper, it is found numerically that the previously found hidden chaotic attractors of the
Rabinovich–Fabrikant system actually present the characteristics of strange nonchaotic …
Rabinovich–Fabrikant system actually present the characteristics of strange nonchaotic …
Applicability of 0-1 test for strange nonchaotic attractors
We show that the recently introduced 0-1 test can successfully distinguish between strange
nonchaotic attractors (SNAs) and periodic/quasiperiodic/chaotic attractors, by suitably …
nonchaotic attractors (SNAs) and periodic/quasiperiodic/chaotic attractors, by suitably …
Strange nonchaotic dynamics in a discrete FitzHugh–Nagumo neuron model with sigmoidal recovery variable
We report the appearance of strange nonchaotic attractors in a discrete FitzHugh–Nagumo
neuron model with discontinuous resetting. The well-known strange nonchaotic attractors …
neuron model with discontinuous resetting. The well-known strange nonchaotic attractors …
Birth of strange nonchaotic attractors in a piecewise linear oscillator
Nonsmooth systems are widely encountered in engineering fields. They have abundant
dynamical phenomena, including some results on the complex dynamics in such systems …
dynamical phenomena, including some results on the complex dynamics in such systems …