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Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity

Communications in nonlinear science & numerical simulation, 2015-11, Vol.28 (1-3), p.166-174

2015

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Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system

Nonlinear dynamics, 2018-04, Vol.92 (2), p.267-285

2018

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On counter-examples to Aizerman and Kalman conjectures

International journal of control, 2022-04, Vol.95 (4), p.906-913

2022

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Numerical analysis of dynamical systems: unstable periodic orbits, hidden transient chaotic sets, hidden attractors, and finite-time Lyapunov dimension

Journal of physics. Conference series, 2019-04, Vol.1205 (1), p.12034

2019

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Hidden Boundary of Global Stability in a Counterexample to the Kapranov Conjecture on the Pull-In Range

Doklady. Mathematics, 2023-08, Vol.108 (1), p.300-308

2023

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Optimal control in the New Keynesian model with monetary and fiscal policy interactions

Journal of physics. Conference series, 2021-05, Vol.1864 (1), p.12040

2021

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The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension

Nonlinear dynamics, 2020-10, Vol.102 (2), p.713-732

2020

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New adaptive synchronization algorithm for a general class of complex hyperchaotic systems with unknown parameters and its application to secure communication

Physica A, 2022-01, Vol.586, p.126466, Article 126466

2022

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Hidden attractor in the Rabinovich system, Chua circuits and PLL

AIP Conference Proceedings, 2016, Vol.1738 (1)

2016

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Hold-in, Pull-in and Lock-in Ranges for Phase-locked Loop with Tangential Characteristic of the Phase Detector

Procedia computer science, 2019, Vol.150, p.558-566

2019

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Lyapunov dimension formula for the attractor of the Glukhovsky–Dolzhansky system

Doklady. Mathematics, 2016, Vol.93 (1), p.42-45

2016

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Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion: Homoclinic orbits, and self-excited and hidden attractors

The European physical journal. ST, Special topics, 2015-07, Vol.224 (8), p.1421-1458

2015

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Complex dynamics and optimal control of monetary policy in a New Keynesian model with government debt

IFAC-PapersOnLine, 2022, Vol.55 (40), p.157-162

2022

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Hidden attractors localization in Chua circuit via the describing function method

IFAC-PapersOnLine, 2017, Vol.50 (1), p.2651-2656

2017

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Time-delay control for stabilization of the Shapovalov mid-size firm model

IFAC-PapersOnLine, 2020, Vol.53 (2), p.16971-16976

2020

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Macroeconomic Model with Monetary and Fiscal Policy and Externality: Nonlinear dynamics, Optimization and Control

IFAC-PapersOnLine, 2021, Vol.54 (17), p.26-31

2021

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Coexistence of hidden attractors and multistability in counterexamples to the Kalman conjecture

IFAC-PapersOnLine, 2019, Vol.52 (16), p.7-12

2019

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On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems

IFAC-PapersOnLine, 2019, Vol.52 (18), p.97-102

2019

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Stability and Chaotic Attractors of Memristor-Based Circuit with a Line of Equilibria

AETA 2018 - Recent Advances in Electrical Engineering and Related Sciences: Theory and Application, p.639-644

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On asymmetric periodic solutions in relay feedback systems

Journal of the Franklin Institute, 2021-01, Vol.358 (1), p.363-383

2021

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The study of periodic oscillations and global stability in the Tal’ model via the Tsypkin method and the LPRS method

Journal of physics. Conference series, 2021-05, Vol.1864 (1), p.12064

2021

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Study of irregular dynamics in an economic model: attractor localization and Lyapunov exponents

Chaos, solitons and fractals, 2021-11, Vol.152, p.111365, Article 111365

2021

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Chimera states and hidden attractors: Comment on “Chimera states in neuronal networks: A review” by S. Majhi, B.K. Bera, D. Ghosh, M. Perc

Physics of life reviews, 2019-03, Vol.28, p.131-133

2019

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Dynamics of the Shapovalov mid-size firm model

Chaos, solitons and fractals, 2020-11, Vol.140, p.110239, Article 110239

2020

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Chimera states and hidden attractors

Physics of life reviews, 2019-03, Vol.28, p.131-133

2019

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Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity

Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system

On counter-examples to Aizerman and Kalman conjectures

Numerical analysis of dynamical systems: unstable periodic orbits, hidden transient chaotic sets, hidden attractors, and finite-time Lyapunov dimension

Hidden Boundary of Global Stability in a Counterexample to the Kapranov Conjecture on the Pull-In Range

Optimal control in the New Keynesian model with monetary and fiscal policy interactions

The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension

New adaptive synchronization algorithm for a general class of complex hyperchaotic systems with unknown parameters and its application to secure communication

Hidden attractor in the Rabinovich system, Chua circuits and PLL

Hold-in, Pull-in and Lock-in Ranges for Phase-locked Loop with Tangential Characteristic of the Phase Detector

Lyapunov dimension formula for the attractor of the Glukhovsky–Dolzhansky system

Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion: Homoclinic orbits, and self-excited and hidden attractors

Complex dynamics and optimal control of monetary policy in a New Keynesian model with government debt

Hidden attractors localization in Chua circuit via the describing function method

Time-delay control for stabilization of the Shapovalov mid-size firm model

Macroeconomic Model with Monetary and Fiscal Policy and Externality: Nonlinear dynamics, Optimization and Control

Coexistence of hidden attractors and multistability in counterexamples to the Kalman conjecture

On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems

Stability and Chaotic Attractors of Memristor-Based Circuit with a Line of Equilibria

On asymmetric periodic solutions in relay feedback systems

The study of periodic oscillations and global stability in the Tal’ model via the Tsypkin method and the LPRS method

Study of irregular dynamics in an economic model: attractor localization and Lyapunov exponents

Chimera states and hidden attractors: Comment on “Chimera states in neuronal networks: A review” by S. Majhi, B.K. Bera, D. Ghosh, M. Perc

Dynamics of the Shapovalov mid-size firm model

Chimera states and hidden attractors

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