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Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures

1, 2017

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Analysis of transition regions in the parametrically forced system of bi-linear oscillators: Resonant excitation in the neighborhood of similar modes

Journal of sound and vibration, 2021-12, Vol.515, p.116435, Article 116435

2021

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STRONGLY NONLINEAR BEAT PHENOMENA AND ENERGY EXCHANGES IN WEAKLY COUPLED GRANULAR CHAINS ON ELASTIC FOUNDATIONS

SIAM journal on applied mathematics, 2012-01, Vol.72 (1), p.337-361

2012

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Analysis of the response of damped and parametrically driven, strongly anharmonic Klein-Gordon chain - Part 2: Beat-waves

Chaos, solitons and fractals, 2023-08, Vol.173, p.113726, Article 113726

2023

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Analytical study of the transition curves in the bi-linear Mathieu equation

Nonlinear dynamics, 2020-09, Vol.101 (4), p.2615-2627

2020

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Solitary waves in FPU lattices with alternating bond potentials

Mechanics research communications, 2018-10, Vol.93, p.148-153

2018

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Dynamics of excited piecewise linear oscillators

Nonlinear dynamics, 2023-03, Vol.111 (6), p.5513-5532

2023

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Regimes of two-dimensional energy channeling in the inertially coupled unit-cell model subjected to an asymmetric potential

Journal of sound and vibration, 2019-08, Vol.454, p.85-101

2019

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Vibration absorption in systems with a nonlinear energy sink: Nonlinear damping

Journal of sound and vibration, 2009-07, Vol.324 (3), p.916-939

2009

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Analysis of transition regions of bi-linear, parametrically driven, two-oscillator model: Resonant excitation in the neighborhood of non-similar NNMs

International journal of non-linear mechanics, 2022-10, Vol.145, p.104074, Article 104074

2022

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Attractors of harmonically forced linear oscillator with attached nonlinear energy sink. II: Optimization of a nonlinear vibration absorber

Nonlinear dynamics, 2008-01, Vol.51 (1-2), p.47-57

2008

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Dynamic instabilities in coupled oscillators induced by geometrically nonlinear damping

Nonlinear dynamics, 2012, Vol.67 (1), p.807-827

2012

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Three-dimensional energy channeling in the unit-cell model coupled to a spherical rotator I: bidirectional energy channeling

Nonlinear dynamics, 2017-08, Vol.89 (3), p.2013-2040

2017

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Three-dimensional energy channeling in the unit-cell model coupled to a spherical rotator II: unidirectional energy channeling

Nonlinear dynamics, 2017-09, Vol.89 (4), p.2311-2327

2017

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Nonlinear Resonances Leading to Strong Pulse Attenuation in Granular Dimer Chains

Journal of nonlinear science, 2013-06, Vol.23 (3), p.363-392

2013

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Nonlinear mixed solitary—Shear waves and pulse equi-partition in a granular network

Physica. D, 2015-01, Vol.291, p.45-61

2015

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Nonlinear normal modes and band zones in granular chains with no pre-compression

Nonlinear dynamics, 2011-02, Vol.63 (3), p.359-385

2011

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Strongly nonlinear traveling waves in granular dimer chains

Mechanical systems and signal processing, 2013-08, Vol.39 (1-2), p.91-107

2013

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Solitary waves in a general class of granular dimer chains

Journal of applied physics, 2012-08, Vol.112 (3)

2012

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Solitary waves in diatomic chains

Physical review. E, 2016-04, Vol.93 (4), p.042210-042210, Article 042210

2016

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Traveling and solitary waves in monodisperse and dimer granular chains

International journal of modern physics. B, Condensed matter physics, statistical physics, applied physics, 2017-04, Vol.31 (10), p.1742001

2017

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Evolution of the primary pulse in one-dimensional granular crystals subject to on-site perturbations: analytical study

Physical review. E, Statistical, nonlinear, and soft matter physics, 2012-05, Vol.85 (5 Pt 1), p.051306-051306, Article 051306

Starosvetsky, Yuli

2012

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Primary wave transmission in systems of elastic rods with granular interfaces

Wave motion, 2011-11, Vol.48 (7), p.567-584

2011

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Scattering of Solitary Waves and Excitation of Transient Breathers in Granular Media by Light Intruders and No Precompression

Journal of applied mechanics, 2012-01, Vol.79 (1), p.1-12

2012

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Non-resonant damped transitions resembling continuous resonance scattering in coupled oscillators with essential nonlinearities

Physica. D, 2012-05, Vol.241 (10), p.964-975

2012

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Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures

Analysis of transition regions in the parametrically forced system of bi-linear oscillators: Resonant excitation in the neighborhood of similar modes

STRONGLY NONLINEAR BEAT PHENOMENA AND ENERGY EXCHANGES IN WEAKLY COUPLED GRANULAR CHAINS ON ELASTIC FOUNDATIONS

Analysis of the response of damped and parametrically driven, strongly anharmonic Klein-Gordon chain - Part 2: Beat-waves

Analytical study of the transition curves in the bi-linear Mathieu equation

Solitary waves in FPU lattices with alternating bond potentials

Dynamics of excited piecewise linear oscillators

Regimes of two-dimensional energy channeling in the inertially coupled unit-cell model subjected to an asymmetric potential

Vibration absorption in systems with a nonlinear energy sink: Nonlinear damping

Analysis of transition regions of bi-linear, parametrically driven, two-oscillator model: Resonant excitation in the neighborhood of non-similar NNMs

Attractors of harmonically forced linear oscillator with attached nonlinear energy sink. II: Optimization of a nonlinear vibration absorber

Dynamic instabilities in coupled oscillators induced by geometrically nonlinear damping

Three-dimensional energy channeling in the unit-cell model coupled to a spherical rotator I: bidirectional energy channeling

Three-dimensional energy channeling in the unit-cell model coupled to a spherical rotator II: unidirectional energy channeling

Nonlinear Resonances Leading to Strong Pulse Attenuation in Granular Dimer Chains

Nonlinear mixed solitary—Shear waves and pulse equi-partition in a granular network

Nonlinear normal modes and band zones in granular chains with no pre-compression

Strongly nonlinear traveling waves in granular dimer chains

Solitary waves in a general class of granular dimer chains

Solitary waves in diatomic chains

Traveling and solitary waves in monodisperse and dimer granular chains

Evolution of the primary pulse in one-dimensional granular crystals subject to on-site perturbations: analytical study

Primary wave transmission in systems of elastic rods with granular interfaces

Scattering of Solitary Waves and Excitation of Transient Breathers in Granular Media by Light Intruders and No Precompression

Non-resonant damped transitions resembling continuous resonance scattering in coupled oscillators with essential nonlinearities

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