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Semihyperbolicity
Translation of "semihyperbolicity" into Russian
semihyperbolicity
Noun
UK
/ˌsɛmiˌhaɪpəˈbɒlɪsɪti/
US
/ˌsɛmiˌhaɪpərˈbɑlɪsɪti/
semihyperbolicity
semihyperbolicities pl
полугиперболичность
The study of semihyperbolicity in dynamical systems is crucial for understanding complex behaviors.
Изучение полугиперболичности в динамических системах имеет решающее значение для понимания сложных поведений.
Definitions
semihyperbolicity
Noun
UK
/ˌsɛmiˌhaɪpəˈbɒlɪsɪti/
US
/ˌsɛmiˌhaɪpərˈbɑlɪsɪti/
The property of a dynamical system (or related mathematical object) that is partially hyperbolic, exhibiting a dominated splitting with at least one expanding and one contracting direction while other directions remain neutral.
In the study of foliations, semihyperbolicity guarantees that trajectories expand in some directions and contract in others without the system being fully hyperbolic.