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Ukrainian Mathematical Journal, ISSN 0041-5995, 06/2018, Volume 70, Issue 1, p. 42
Journal Article
Journal of Applied Nonlinear Dynamics, ISSN 2164-6457, 2018, Volume 7, Issue 3, pp. 319 - 327
Journal Article
Physics Letters A, ISSN 0375-9601, 10/2012, Volume 376, Issue 45, pp. 3045 - 3050
The general method for proving the existence of homoclinic trajectories in dissipative systems is developed. The applications of this method to Lorenz-like... 
Lu system | Homoclinic trajectory | Fishing principle | Chen system | Shimizu–Morioka system | Lorenz system | Shimizu-Morioka system | PHYSICS, MULTIDISCIPLINARY | Fishing | Analysis | Algorithms
Journal Article
Physics Letters A, ISSN 0375-9601, 03/2015, Volume 379, Issue 6, pp. 524 - 528
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 09/2012, Volume 241, Issue 18, pp. 1482 - 1486
Journal Article
Physics Letters A, ISSN 0375-9601, 2011, Volume 375, Issue 23, pp. 2230 - 2233
The classical attractors of Lorenz, Rossler, Chua, Chen, and other widely-known attractors are those excited from unstable equilibria. From computational point... 
Hidden attractor | Attractor localization | Experimental study | Chuaʼs circuit | Chuas circuit | HARMONIC LINEARIZATION | CHAOS | Artractor localization | PHYSICS, MULTIDISCIPLINARY | ALGORITHM | Chua's circuit | CIRCUIT | Attraction | Algorithms | Circuits | Mathematical analysis | Basins | Solid state physics | Localization | Position (location)
Journal Article
European Physical Journal: Special Topics, ISSN 1951-6355, 07/2015, Volume 224, Issue 8, pp. 1421 - 1458
In this paper, we discuss self-excited and hidden attractors for systems of differential equations. We considered the example of a Lorenz-like system derived... 
EXISTENCE | CHAOTIC FLOWS | AIZERMAN | LYAPUNOV FUNCTIONS | PHYSICS, MULTIDISCIPLINARY | DIMENSION | BIFURCATIONS | DYNAMICS | LIMIT-CYCLES | ALGORITHMS | OSCILLATIONS | Physics - Chaotic Dynamics
Journal Article
Journal Article
The European Physical Journal Special Topics, ISSN 1951-6355, 7/2015, Volume 224, Issue 8, pp. 1405 - 1408
This topical issue collects contributions exemplifying the recent scientific progress in understanding the dynamics of multistable systems. The individual... 
Condensed Matter Physics | Measurement Science and Instrumentation | Materials Science, general | Atomic, Molecular, Optical and Plasma Physics | Physics, general | Physics | Classical Continuum Physics | SYSTEM | BASINS | AIZERMAN | ALGORITHMS | DUFFING OSCILLATOR | PHYSICS, MULTIDISCIPLINARY
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 04/2015, Volume 256, pp. 334 - 343
Currently it is being actively discussed the question of the equivalence of various Lorenz-like systems and the possibility of universal consideration of their... 
Lu system | Chaotic analog of 16th Hilbert problem | Chen system | Lorenz system | Lorenz-like systems | Lyapunov exponent | HAUSDORFF DIMENSION | EXISTENCE | INVARIANT ALGEBRAIC-SURFACES | MATHEMATICS, APPLIED | MODEL | LYAPUNOV DIMENSION | HIDDEN ATTRACTORS | DYNAMICS | HOMOCLINIC ORBITS | BIFURCATION | Physics - Chaotic Dynamics
Journal Article
Systems & Control Letters, ISSN 0167-6911, 07/2014, Volume 69, Issue 1, pp. 34 - 37
In this paper for the unstable periodic solution of nonlinear differential equation, Pyragas stabilizability problem is studied. An algorithm of stabilization... 
Delayed feedback control of chaos | Stabilization | Floquet theorem | Linearization | Pyragas method | CHAOS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SYSTEMS | STATE | AUTOMATION & CONTROL SYSTEMS | Algorithms | Feedback | Differential equations | Control systems | Nonlinearity | Control theory | Gain
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 11/2015, Volume 28, Issue 1-3, pp. 166 - 174
Journal Article
Journal of Mathematical Sciences, ISSN 1072-3374, 08/2014, Volume 201, Issue 5, p. 645
UDC 531.36:534.1 
Control systems
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 12/2014, Volume 78, Issue 4, pp. 2751 - 2758
In the present paper, a Fishing principle for the existence of homoclinic and heteroclinic trajectories is formulated and proved. This principle is applied to... 
Engineering | Vibration, Dynamical Systems, Control | Heteroclinic trajectory | Fishing principle | Homoclinic trajectory | Mechanics | Automotive Engineering | Mechanical Engineering | Lorenz-like-system | Phase locked loop | SHIMIZU-MORIOKA | MECHANICS | ENGINEERING, MECHANICAL | Fishing | Phase locked loops | Trajectories | Nonlinear dynamics | Dynamical systems
Journal Article
Journal of Physics: Conference Series, ISSN 1742-6588, 05/2018, Volume 1015, Issue 3
Conference Proceeding
Communications on Pure and Applied Analysis, ISSN 1534-0392, 11/2017, Volume 16, Issue 6, pp. 2253 - 2267
Attractors dimension of Lorenz-Stenflo system is estimated. Convergence criteria are proved. Fishing principle for existence of homoclinic trajectory is... 
Chaos | Homoclinic trajectory | Lorenz system | Attractors dimension | Convergence | attractors dimension | MATHEMATICS | MATHEMATICS, APPLIED | chaos | convergence | homoclinic trajectory | SYSTEMS
Journal Article
The European Physical Journal Special Topics, ISSN 1951-6355, 7/2015, Volume 224, Issue 8, pp. 1485 - 1491
Hidden attractors have a basin of attraction which is not connected with unstable equilibrium. Certain systems with hidden attractor show multistability for a... 
Condensed Matter Physics | Measurement Science and Instrumentation | Materials Science, general | Atomic, Molecular, Optical and Plasma Physics | Physics, general | Physics | Classical Continuum Physics | PHYSICS, MULTIDISCIPLINARY | NOISE
Journal Article
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