... 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. ... |
... the simultaneous occurrence of two pairs of |
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Rich dynamics caused by delay in a nonchaotic Rulkov map Rich dynamics caused by delay in a nonchaotic Rulkov map Wang, Guanghui; Peng, Mingshu; Zuo, Jun; Cheng, Ranran |
complex eigenvalues with modulus equal to 1 ... |
... 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 ... |
... 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 ... |
... 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, ... |
... 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 $$ ... |
... system loses stability as a pair of complex |
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Anti-control of Hopf bifurcation in the Shimizu–Morioka system using an explicit criterion Anti-control of Hopf bifurcation in the Shimizu–Morioka system using an explicit criterion Yang, Yi; Liao, Xiaofeng; Dong, Tao |
eigenvalues cross imaginary axis, ... |
... 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., ... |