Blow-Up Criteria and Regularity Criterion for the Three-Dimensional Magnetic Bénard System in the Multiplier Space
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DOI: 10.1007/s00025-018-0860-3
Abstract: This study is devoted to investigating the blow-up criteria of strong solutions and regularity criterion of weak solutions for the magnetic Bénard system in $$\mathbb {R}^3$$R3 in a sense of scaling invariant by employing a… read more here.
Keywords: system; magnetic nard; nard system; mathbb ... See more keywords
Global dynamics of a quintic Liénard system with Z2 -symmetry I: saddle case
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DOI: 10.1088/1361-6544/abf8fb
Abstract: In the paper we deal with a quintic Liénard system of the form ẋ=y−(a1x+a2x3+a3x5),ẏ=b1x+b2x3 with a Z2 -symmetry, where a1,a2,b1∈R and a 3 b 2 ≠ 0. A complete study of this system with b… read more here.
Keywords: quintic nard; system; saddle case; nard system ... See more keywords
Extreme events in the forced Liénard system.
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DOI: 10.1103/physreve.96.052204
Abstract: We observe extremely large amplitude intermittent spikings in a dynamical variable of a periodically forced Liénard-type oscillator and characterize them as extreme events, which are rare, but recurrent and larger in amplitude than a threshold.… read more here.
Keywords: nard system; events forced; extreme events; forced nard ... See more keywords
Generalized Symmetry of the Liénard System
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DOI: 10.1134/s0012266119020046
Abstract: We refine the notion of generalized symmetry of a plane autonomous system of differential equations used by I.S. Kukles in the generalized symmetry method. A formula relating the Kukles and Otrokov theorems on necessary and… read more here.
Keywords: system generalized; system; generalized symmetry; symmetry nard ... See more keywords
An Improved Regularity Criterion for the 3D Magnetic Bénard System in Besov Spaces
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DOI: 10.3390/sym14091918
Abstract: This article notably targets the more general (extended) function spaces by investigating the regularity of the weak solutions or turbulent solutions to the Cauchy problem of the 3D magnetic Bénard system by converting it into… read more here.
Keywords: magnetic nard; besov spaces; regularity; nard system ... See more keywords