Ruling Out Positive Lyapunov Exponents by Using the Jacobian’s Second Additive Compound Matrix
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DOI: 10.1109/lcsys.2022.3179952
Abstract: Second additive compound matrices of the system’s Jacobian are used to formulate sufficient conditions to rule out existence of attractors with positive Lyapunov exponents. The criteria are expressed in terms of Lyapunov dissipation inequalities or… read more here.
Keywords: second additive; lyapunov exponents; positive lyapunov; additive compound ... See more keywords
Can the Flap of a Butterfly’s Wings Shift a Tornado into Texas—Without Chaos?
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DOI: 10.3390/atmos14050821
Abstract: In our title, “chaos” means there is a positive Lyapunov exponent that causes the tornado to move. We are asserting that a positive Lyapunov exponent is not always needed to have a butterfly effect. Lorenz’s… read more here.
Keywords: effect; growth; chaos; positive lyapunov ... See more keywords