Behaviour pattern with data member

My class shall implement different behaviours but using the same
interface. Therefore I use the "behaviour pattern":

class abstract_behaviour {
public:
    virtual void do_something() = 0;
    // --> data member here ???
};

class C {
public:
    C (abstract_behaviour* behaviour);
    // ...
    void foo() {
        behaviour->do_something();
    }
};

Now I can define various behaviours by inheriting from the
abstract_behaviour
class:

class my_concrete_behaviour : public abstract_behaviour {
   // implement special behaviour ...
};

My problem now is that the implementation depends on some data
member, e.g. number of calls. As all concrete_behaviour classes need
to look at the value it has to go up the hierarchy into the
abstract_behaviour
class. This somewhat disturbs me as a concrete item joins abstract
behaviour.

Any suggestions or better ideas?

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