Also, some subquadratic conditions, which are weaker than the globally subquadratic condition, are obtained to guarantee the existence of periodic solutions with prescribed minimal period to autonomous system.
Some weaker conditions than a globally subquadratic condition are obtained to guarantee the existence of periodic solutions with prescribed minimal period to autonomous system.
When the systems are globally superquadratic or subquadratic, by restricting our discussion to the Nehari manifold, firstly, we study the existence of multiple periodic solutions to nonautonomous systems; secondly, we study the existence of periodic solutions with a prescribed minimal period to autonomous systems.
The simplest and minimal example of autonomous processes (Scenario 4) is purely oscillatory processes (i.e., processes governed by limit cycles), exemplars thereof abound in the motor control literature.
In Section 3, firstly, we study the existence of periodic solutions with a prescribed minimal period to an autonomous system, which is globally superquadratic or subquadratic; secondly, some conditions, which are weaker than the globally subquadratic condition, are given to guarantee the existence of periodic solutions with prescribed minimal period to autonomous system.
The difficulty is manifested in the fact that as soon as we try to pin down the minimal, threshold conditions of autonomous agency, we seem to come up against the conditions necessary for agency itself.
On minimalist conceptions of autonomy, most of the agents described in the hard cases would be autonomous because minimal conditions for flourishing obtain and there is no pathology, cognitive impairment, or direct coercion present.
The fact that this element activates transcription from a heterologous minimal promoter suggests an autonomous, context-independent function in activating RNA polII-mediated transcription.
Autonomy refers to the extent of government involvement in the decisions of the procurement organisation; 'fully autonomous' implies minimal involvement while 'government owned' indicates a high degree of involvement.
Although the number of genes in Portiera (circa 290) and Evansia (369) was a little higher that the threshold proposed for symbionelle, both may be considered symbionelles because they have lost some of the gene products required for a minimal cell to be autonomous.
