On differences and similarities in the analysis of Lorenz, Chen, and Lu systems (Q299628): Difference between revisions

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+scientific article; zbMATH DE number 6596819
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-.1016/j.amc.2014.12.132
@@ Property / DOI: 10.1016/j.amc.2014.12.132 / rank @@
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+W2091402091
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+.8649
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@@ Property / cites work @@
+Study of the Hopf bifurcation in the Lorenz, Chen and Lü systems
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+Chen's attractor exists if Lorenz repulsor exists: The Chen system is a special case of the Lorenz system
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+The Lü system is a particular case of the Lorenz system
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+Centers on center manifolds in the Lorenz, Chen and Lü systems
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+Comment on ``A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family''
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+Hausdorff and fractal dimension estimates for invariant sets of non-injective maps
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+Complicated basins and the phenomenon of amplitude death in coupled hidden attractors
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+The Chen system revisited
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+YET ANOTHER CHAOTIC ATTRACTOR
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+Lorenz Equations Part I: Existence and Nonexistence of Homoclinic Orbits
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+THE NONEQUIVALENCE AND DIMENSION FORMULA FOR ATTRACTORS OF LORENZ-TYPE SYSTEMS
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+Introduction to the theory of infinite-dimensional dissipative systems. Transl. from the Russian by Constantin I. Chueshov, edited by Maryna B. Khorolska
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+The Lorenz system does not have a polynomial flow
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+INVARIANT ALGEBRAIC SURFACES OF THE CHEN SYSTEM
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+On the shape and dimension of the Lorenz attractor
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+On completeness of quadratic systems
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+Some advances on generic properties of the Oseledets splitting
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+Maximum local Lyapunov dimension bounds the box dimension of chaotic attractors
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+Q4283491
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+Hopf bifurcation analysis in the \(T\) system
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+Preturbulence: A regime observed in a fluid flow model of Lorenz
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+Co-existing hidden attractors in a radio-physical oscillator system
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+Numerical justification of Leonov conjecture on Lyapunov dimension of Rossler attractor
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+Cost Function Based on Gaussian Mixture Model for Parameter Estimation of a Chaotic Circuit with a Hidden Attractor
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+Criteria for the existence of homoclinic orbits of systems Lu and Chen
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+Formulas for the Lyapunov dimension of attractors of the generalized Lorenz system
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+Shilnikov chaos in Lorenz-like systems
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+The Tricomi problem on the existence of homoclinic orbits in dissipative systems
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+On estimates of the bifurcation values of the parameters of a Lorentz system
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+General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu-Morioka, Lu and Chen systems
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+Lyapunov functions in the attractor dimension theory
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+Lyapunov's direct method in the estimation of the Hausdorff dimension of attractors
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+TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
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+Hidden attractors in dynamical systems. from hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits
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+Localization of hidden Chua's attractors
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+Hidden attractor in smooth Chua systems
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+The dimension formula for the Lorenz attractor
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+Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications
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+Coexisting Hidden Attractors in a 4-D Simplified Lorenz System
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+Invariant algebraic surfaces of the Lorenz system
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+Deterministic Nonperiodic Flow
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+ON A GENERALIZED LORENZ CANONICAL FORM OF CHAOTIC SYSTEMS
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+Is that Really Hidden? The Presence of Complex Fixed-Points in Chaotic Flows with No Equilibria
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+Dynamics and Synchronization of a Novel Hyperchaotic System Without Equilibrium
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+Theory of pseudo-orbit shadowing in dynamical systems
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+On the boundedness of solutions of the Chen system
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+When Two Dual Chaotic Systems Shake Hands
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+New Chaotic Regimes in the Lorenz and Chen Systems
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+Infinite-dimensional dynamical systems in mechanics and physics
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+Analysis of a 3D chaotic system
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+The Lorenz attractor exists
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+Degenerate Hopf bifurcations, hidden attractors, and control in the extended Sprott E system with only one stable equilibrium
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+A new finding of the existence of hidden hyperchaotic attractors with no equilibria
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+On the boundness of some solutions of the Lü system
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+Hidden Attractors and Dynamics of a General Autonomous van der Pol–Duffing Oscillator
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+Multistability and hidden attractors in a multilevel DC/DC converter
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+.1016/J.AMC.2014.12.132
@@ Property / DOI: 10.1016/J.AMC.2014.12.132 / rank @@
+Normal rank