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... system. Since the map Q can capture two  conjugate 
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  conjugate 
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-  conjugate 
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  conjugate 
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  conjugate 
On analysis of nonlinear dynamical systems via methods connected with $$\lambda $$λ-symmetry
On analysis of nonlinear dynamical systems via methods connected with $$\lambda $$λ-symmetry
Polat, Gülden Gün; Özer, Teoman
momentum. ...
... of synchronization technique, laser phase-  conjugate 
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  conjugate 
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  conjugate 
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  conjugate 
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  conjugate 
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  conjugate 
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  conjugate 
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  conjugate 
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-  conjugate 
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  conjugate 
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  conjugate 
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  conjugate 
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  conjugate 
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  conjugate 
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  conjugate 
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  conjugate 
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  conjugate 
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  conjugate 
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  conjugate 
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  conjugate 
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 ...

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