... system. Since the map Q can capture two |
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Coexistence of strange nonchaotic attractors and a special mixed attractor caused by a new intermittency in a periodically driven vibro-impact system Coexistence of strange nonchaotic attractors and a special mixed attractor caused by a new intermittency in a periodically driven vibro-impact system Yue, Yuan; Miao, Pengcheng; Xie, Jianhua |
attractors, it is used to investigate the ... |
... reliability method (FORM) using chaotic |
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Stability iterative method for structural reliability analysis using a chaotic conjugate map Stability iterative method for structural reliability analysis using a chaotic conjugate map Keshtegar, Behrooz |
map. ... |
... of the switched system (2.1) are called R- |
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On two-parameter bifurcation analysis of the periodic parameter-switching Lorenz oscillator On two-parameter bifurcation analysis of the periodic parameter-switching Lorenz oscillator Zhang, Chun; Bi, Qinsheng |
if they satisfy $$\Gamma _2=R(\Gamma _1).$$ ... |
... limit set theory. The map Q can capture two |
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Bifurcations of the symmetric quasi-periodic motion and Lyapunov dimension of a vibro-impact system Bifurcations of the symmetric quasi-periodic motion and Lyapunov dimension of a vibro-impact system Yue, Yuan |
limit sets and hence can capture two ... |
... L is the Lagrangian, and p is the |
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On analysis of nonlinear dynamical systems via methods connected with $$\lambda $$$\mathit{\lambda}$-symmetry On analysis of nonlinear dynamical systems via methods connected with $$\lambda $$$\mathit{\lambda}$-symmetry Polat, Gülden Gün; Özer, Teoman |
momentum. ... |
... of synchronization technique, laser phase- |
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The signal synchronization transmission among uncertain discrete networks with different nodes The signal synchronization transmission among uncertain discrete networks with different nodes Lü, Ling; Li, Chengren; Liu, Shuo; Wang, Zhouyang; Tian, Jing; Gu, Jiajia |
wave, Gibbs electro-optical system and ... |
... both the modified Lorenz system and the |
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Hopf bifurcation and heteroclinic orbit in a 3D autonomous chaotic system Hopf bifurcation and heteroclinic orbit in a 3D autonomous chaotic system Li, Xianyi; Wang, Peng |
Chen system, presented in [Huang and Yang, ... |
... and the initial mass of the system. The |
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Second-order theory for the two-body problem with varying mass including periastron effect Second-order theory for the two-body problem with varying mass including periastron effect El-Saftawy, M. I.; El-Salam, F. A. Abd |
momenta “ $$Q_4$$ Q 4 ” is assigned as the ... |
... conclusions: (1) when the parameters are |
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Quasi-sine Fibonacci M set with perturbation Quasi-sine Fibonacci M set with perturbation Wang, Xingyuan; Ge, Fengdan |
, the two figures of noised quasi-sine ... |
... one negative real eigenvalue, and a pair of |
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Dynamical model and control of a small-world network with memory Dynamical model and control of a small-world network with memory Xu, X.; Luo, J. W. |
imaginary eigenvalues with positive real ... |
... μ ) = D x f ( 0 , μ ) has a pair of complex |
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Hopf bifurcation analysis of a new commensurate fractional-order hyperchaotic system Hopf bifurcation analysis of a new commensurate fractional-order hyperchaotic system Li, Xiang; Wu, Ranchao |
eigenvalues $$\lambda $$ λ and ... |
... the main result about almost topological |
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Standard decomposition of expansive ergodically supported dynamics Standard decomposition of expansive ergodically supported dynamics Sobottka, Marcelo |
dynamical systems due to Sun: Definition ... |
... true: (a) the number of distinct pairs of |
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Stability and Hopf bifurcation of a two-dimensional supersonic airfoil with a time-delayed feedback control surface Stability and Hopf bifurcation of a two-dimensional supersonic airfoil with a time-delayed feedback control surface Xu, Bin; Zhang, Wen; Ma, Jianmin |
complex roots of $$f(x)$$ f ( x ) is $$v$$ ... |
... ∘ f = γ ∘ h , then f is said to be a semi- |
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Strange attractors generated by a fractional order switching system and its topological horseshoe Strange attractors generated by a fractional order switching system and its topological horseshoe Zambrano-Serrano, E.; Campos-Cantón, E.; Muñoz-Pacheco, J. M. |
to $$\gamma .$$ γ . ... |
... according to Devaney and topological |
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An image encryption algorithm based on the perturbed high-dimensional chaotic map An image encryption algorithm based on the perturbed high-dimensional chaotic map Tong, Xiao Jun; Wang, Zhu; Zhang, Miao; Liu, Yang; Xu, Hui; Ma, Jing |
definition. ... |
... with the initial condition u 0(x) and its |
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The use of Volterra series in the analysis of the nonlinear Schrödinger equation The use of Volterra series in the analysis of the nonlinear Schrödinger equation Guo, L. Z.; Guo, Y. Z.; Billings, S. A.; Coca, D.; Lang, Z. Q. |
$\bar{u}_{0}(x)$ as two inputs. ... |
... from z 1. The overbar indicates the complex |
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Nonlinear analysis of unbalanced mass of vertical conveyor: primary, subharmonic, and superharmonic response Nonlinear analysis of unbalanced mass of vertical conveyor: primary, subharmonic, and superharmonic response Bayıroğlu, Hüseyin |
. ... |
... that the real parts of the pair of complex |
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Non-smooth bifurcations on the bursting oscillations in a dynamic system with two timescales Non-smooth bifurcations on the bursting oscillations in a dynamic system with two timescales Zhang, Zhengdi; Liu, Binbin; Bi, Qinsheng |
eigenvalues related to the foci may ... |
... the superscript H denotes the transpose |
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Post-critical analysis of ground resonance phenomenon: effect of stator asymmetry Post-critical analysis of ground resonance phenomenon: effect of stator asymmetry Gourc, Etienne; Sanches, Leonardo; Michon, Guilhem; Steffen, Valder, Jr. |
. ... |
... c 5 and $$\overline{c}_{5}$$ c ¯ 5 are |
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Nonlinear wave solutions and their relations for the modified Benjamin–Bona–Mahony equation Nonlinear wave solutions and their relations for the modified Benjamin–Bona–Mahony equation Song, Ming |
complex numbers. ... |
... equation of the system has a new pair of |
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Complicated dynamics of a ring of nonidentical FitzHugh–Nagumo neurons with delayed couplings Complicated dynamics of a ring of nonidentical FitzHugh–Nagumo neurons with delayed couplings Mao, Xiaochen |
roots with positive real parts when the sum ... |
... $\mathrm{c.c}$ stands for complex |
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Bifurcation analysis of milling process with tool wear and process damping: regenerative chatter with primary resonance Bifurcation analysis of milling process with tool wear and process damping: regenerative chatter with primary resonance Moradi, Hamed; Movahhedy, Mohammad R.; Vossoughi, Gholamreza |
of the preceding terms, 35 $$ ... |
... matrix are always two pairs of complex |
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Nonlinear modeling and dynamic control of hydro-turbine governing system with upstream surge tank and sloping ceiling tailrace tunnel Nonlinear modeling and dynamic control of hydro-turbine governing system with upstream surge tank and sloping ceiling tailrace tunnel Guo, Wencheng; Yang, Jiandong; Chen, Jieping; Wang, Mingjiang |
eigenvalues and a real eigenvalue (i.e., ... |
... where cc denotes the complex |
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Analysis of stability and Hopf bifurcation of delayed feedback spin stabilization of a rigid spacecraft Analysis of stability and Hopf bifurcation of delayed feedback spin stabilization of a rigid spacecraft Nazari, Morad; Butcher, Eric A. |
of the preceding terms, and ϕ is the ... |
... spectrum is composed of pairs of complex |
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An upper bound for validity limits of asymptotic analytical approaches based on normal form theory An upper bound for validity limits of asymptotic analytical approaches based on normal form theory Lamarque, Claude-Henri; Touzé, Cyril; Thomas, Olivier |
eigenvalues, so that R is not reduced to ... |